Abstract
A Green function technique is employed to investigate the propagation of elastic waves in a semi-infinite damped media. The calculations are based on the linear response function approach, which is very convenient to deal with this kind of problem. Both the displacement and the gradient displacement Green functions are determined. All deformations in the media are supposed to be negligible, so the motions considered here are purely elastic waves. A damping term γ is included in a phenomenological way into the wave vector expression. By using the fluctuation-dissipation theorem, the power spectrum of the elastic waves is also derived, and has interesting properties.
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Albuquerque, E.L., Mauriz, P.W. (2003). Elastic Waves Propagation in Damped Media. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2668. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44843-8_84
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DOI: https://doi.org/10.1007/3-540-44843-8_84
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